| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2015 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Complex Numbers Arithmetic |
| Type | Standard quadratic with real coefficients |
| Difficulty | Moderate -0.8 This is a straightforward application of the quadratic formula to find complex roots, followed by routine conversion to modulus-argument form. While it's a Further Maths question, it requires only standard techniques with no problem-solving insight, making it easier than the average A-level question overall. |
| Spec | 4.02c Complex notation: z, z*, Re(z), Im(z), |z|, arg(z)4.02i Quadratic equations: with complex roots |
2 Find the roots of the quadratic equation $z ^ { 2 } - 4 z + 13 = 0$.\\
Find the modulus and argument of each root.
\hfill \mbox{\textit{OCR MEI FP1 2015 Q2 [5]}}